(x,y) = (r,16)

With this knowledge, plug in r for x, and 16 for y

16 = 2(r) - 4

Isolate the r, add 4 to both sides

16 (+4) = 2r - 4 (+4)

20 = 2r

Divide 2 from both sides

20/2 = 2r/2

r = 20/2

r = 10

hope this helps

4 0

3 years ago

What is the area of a sector with a central angle of \frac{5 \pi }{6} radians and a diameter of 5.6 in.? Use 3.14 for π and roun

kvasek [131]

Answer:

10.26 in²

Step-by-step explanation:

The area (A) of the sector is

A = area of circle × fraction of circle

= πr² × $\frac{\frac{5\pi }{6} }{2\pi }$

= π × 2.8² × $\frac{5}{12}$ ≈ 10.26 in²

7 0

2 years ago

The CBS’ television show 60 Minutes has been successful for many years. That show recently had a share of 20, which means that a

xxMikexx [17]

Given:
p = 20% = 0.2, sample proportion
n = 5000, sample size.
Confidence level = 95%

The confidence interval is
(p - 1.96k, p + 1.96k)
where
$k=\sqrt{ \frac{p(1-p)}{n} }=\sqrt{ \frac{0.2*0.8}{5000}} =0.00566$

Therefore the 95% confidence interval is
(0.1943, 0.2057) = (19.4%, 20.6%)

Answer: The 95% confidence interval is (19.4%, 20.6%)

6 0

3 years ago